Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3. Amanda pays £235
a) Work out the total cost of the holiday.
b) Work out how much Bethany pays.

(show all your working out)

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141

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